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   "source": [
    "# Introduction to Quantitative Finance\n",
    "\n",
    "Copyright (c) 2019 Python Charmers Pty Ltd, Australia, <https://pythoncharmers.com>. All rights reserved.\n",
    "\n",
    "<img src=\"img/python_charmers_logo.png\" width=\"300\" alt=\"Python Charmers Logo\">\n",
    "\n",
    "Published under the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) license. See `LICENSE.md` for details.\n",
    "\n",
    "Sponsored by Tibra Global Services, <https://tibra.com>\n",
    "\n",
    "<img src=\"img/tibra_logo.png\" width=\"300\" alt=\"Tibra Logo\">\n",
    "\n",
    "\n",
    "## Module 1.4: Principle Component Analysis (PCA)\n",
    "\n",
    "# 1.4.1 Principle Component Analysis Introduction\n",
    "\n",
    "We saw in the last module that multicollinearity is caused when independent variables have a linear relationship. This can cause problems with the OLS estimator, leading to large errors and unreliable coefficients. A few ways to address this was brought up in the last module, such as removing redundant variables.\n",
    "\n",
    "If there is cause for all variables to be included in a model, another general pattern for solving this type of error is Principle Component Analysis (PCA), which reshapes the data into a new numerical space (vector space). Dimensions in the new space are a linear mapping of dimensions in the old space. For instance, if you have variables $X_1$ and $X_2$, they are the dimensions of your original vector space. After PCA, your first dimension may be $0.5X_1 + 3X_2$ and the data is reshaped according to this variable, rather than the original ones.\n",
    "\n",
    "The resulting vector-space after running PCA has the following two major properties:\n",
    "\n",
    "1. The dimensions of the new space are linearly separable, also known as orthogonal to each other. In other words, multicollinearity disappears immediately after running PCA, regardless of the properties of the original dataset.\n",
    "2. The dimensions are ordered, such that the first dimension accounts for a higher proportion of the variability in the data than the next dimension, and so on.\n",
    "\n",
    "This second property means that in addition to using PCA to remove multicollinearity, you can also use it to reduce the number of input variables. For instance, if you have 30 input variables, you can use PCA to map them to a new space. In that new space, you may only need 6 variables to account for 95% of the variability in the data, which (very loosely) approximates to a model which can be 95% as effective as the original model, despite having just 20% of the features. Oddly, reducing the number of features this way may actually cause the model to *increase* in predictive accuracy, as the discarded features often map noise rather than signal in your input data (however your results may vary, there are no hard and fast rules here).\n",
    "\n",
    "An important note to keep in mind is that PCA is an *unsupervised* algorithm. You put your input data variables in, but not your output variable (i.e. the one you are trying to predict). PCA does not care about what you are trying to predict, it will reshape the data in the same way regardless. For this reason, it may, or may not, help with predictive accuracy - the actual PCA results are unrelated to your linear regression model.\n",
    "\n",
    "<small><i>This notebook/chapter was derived from a notebook put together by [Jake Vanderplas](http://www.vanderplas.com) for PyCon 2015. Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_pycon2015/).</i></small>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "%run setup.ipy"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PCA basic example\n",
    "\n",
    "Here is a small example of the PCA algorithm in practice. We start with a dataset with two variables (check `X.shape`), and plot the corresponding data. You can see a strong linear trend to the data between the two variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
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UBmQqVwORjo4OXXTRRVq9erWbtwGQh9xoXzXznvFE30+S6XNjrB52Z3bb565//gxBCLKGq4HI5Zdfrv/4j//Qtdde6+ZtAOQhK+2rTr1nMtH3M86NqQz2zXhUBkv7ZCqsHnZnNoNSWU6BKrJHRtWIdHV1qavrkz3T9vZ2H1cDIJOZzQ5YaV91otXVeI8Fk6o0v6YyZRGtlcPujAxKa6gzboaGAlVko4wKRFatWqW6ujq/lwEgC1itr3D6WjPvYfbcGLNBi5FBWbK+QQH13S6Kl0EBskFGzRFZuXKlQqFQ77+DBw/6vSQAGcpqfYUT75mMnftFM4KWq6ecq1njEx9MZ3bbB8gWGZURKSkpUUlJid/LAJAF3MgORL+nFV5nI8xmUIBskFEZEQCwwo3swIJJVVp9w1RZeab7kY0wum5GlJXqyInTRbIccIds5GpG5KOPPtKePXt6v963b58aGxtVUVGh0aNHu3lrAHkiOjvQGvpYbR3dqhhcouCAYvWEI7ayBEMHlcjMM33ZnPGaPWG4L9kINwa5AX5wNRB57bXXNGfOnN6vly9fLklatGiR1q1b5+atAbjEjXHq6SosCCj0cbd+9PQ7jjyYzXbPTDynLGkxak84oh17j2n7u0clna4BmTkucf2HWYnGvBuD1agVQTZxNRC57LLLFImQKgRyRab+Fe70g9mJjpz6phat+N2bOn7yVO/3Hnpuj4YMLNIPv3yh7d9XqqFrAZ0erDa/ptL3ABEwgxoRAKa4MU7dCW5MWE23I6e+qUWL1zf0CUIMx0+e0uI4v6+ecETb9x7TpsZD2r73WML1ujHIDfBTRnXNAMhMmfZXePT20NETXaYfzGZmekjpdeT0hCO6+8m3Ut4j+vdlJdPkxiA3wE8EIgBSsvJXuNmHvVmxNSkfdnTpni1vWx7FbvXBbGXiabSd+9rU2p76VF3j9xX6uNvStpIbg9ysyMQaIWQ3AhEAKXnxV3i8B9zW5tZ+gYBddh7MduZ1WPkdtLZ36kf1uy1lmvwc856pNULIbgQiAFJy+6/weA+4wSWF+qirx9b7RUv3wWx2TLvByu+g4T3rmSa/xrzTqQO3UKwKICU3xqkbEhXBOhWESN6evzJ9zFANHVhk6tr/b8cBU9fFZlmcHuSWqlDWjYJgwEBGBEBKTv4VHr0Fc/bgEt395FtxH3BOSFXPkYrVeggjs/NhnG6ZdMTLsjg15t3MdoufNULIfQQiAEyxW7wZLd5Dz2l3XXmBzi4rSbuQ0mo9RKKti3Sk2layum0Uy+x2C506cBOBCADT0vkr3I0HdTTjoX3z7GrXJpe2hDq1eH2DfnrDNF0x+ZNgJNnWhV1ubytZacn2u1MHuY1ABIAldv4Kd+NBHc3uQzve1ouklGtd9niDHtJUXTF5pKTUWxd2pLutlIqV7RY/O3WQ+whEALjOjQd1NLMP7ejAY//RDj2+80CfmR9VwVJ97eLRKdcajkjf2vC6Hi4IWNq6SMWpbSUzrGy3+NWpg/xAIALAdU7WDlQFS3XXlTUaOqjY0vaQmfqU1lCnHnjmr6bXYnXrIhEnt5XMsrrd4kSNEBAPgQgA1zlVO3DHvIlaNndin4e1mc4Ws/UpVreOrGxdDBlYpA9PnsqYjIKd7RanOnWAaAQiAFxn9qF3/1cu0rbd7+v3jYfV1tHd+/N43So94YgeenaP1r68T8c/PpXwWrfrU8xuXaz68oWSlDEZBbvbLel26gCxApFIJGMn0LS3tysYDCoUCqm8vNzv5QBIg5GVkOI/9KIHcaXKctQ3tWjF796Me7pt7Ptt33tM1/9shwuf6LTHb5vZ+2A20/KbaWe1MLYdbrDy/CYQAeAZJx569U0tWnwmoEnEyLC8dOdcPfnGYd3xy0bLa739CxP1f579mxINC42+h9WtokyTjWtGZrPy/GZrBoBldh9c6dYYGNssqRitpw89u0f/s32fqfeONrjkLI0ZNlDfnjtRP9n2t34/z7Wti2xcM3IHGREAlviZynd7myWeIWfOjYneBmLrAkiOjAgAV/h9AqsfI8RDJ08potMdO2PPHtQvi5MoO5QJ2x2ZsAYgFQIRAKZYGQnu1sPOjxHixmd74tWD/epBEmWHrrqoSk++0eJrAShFqMgWBX4vAEB2sDIS3C1GG7DXf9PH+2xGdij2d9IS6tQjL+7r930ja1Tf1OL6ehOtzcs1AGYRiAAwJRNOYDVmX0hKGIwMKi507f7GZ7Mzm8S4tm5zs3oSteI4IFXmyos1AFYQiAAwJVNOYDVGjVcG+95nyIAi/dsXJqistMi1exufze7ZOV5kjTIhcwVYQY0IAFMy6QRWow14x95j2v7uUUmftJ/+ZNsex+8X+9nSzfo809zqWrtsJmSuACsIRACYkmknsG5tbu1TjPnQc3s0ZID9bMg/T67SH/7SYuqzpZv1eezl/bq4usKVotFMyVwBZrE1A8C0RNsilcFS11t3oyUqxow+c8asIQOLdMe88/WTr03VwyY/mxNFs27VaaRaW0Cnu2e8yFwBZjDQDIBlfs6n6AlHdOm9z9qq0QhIOqe8RF+7eJTW/fm9uIflmZ38mujsHCuiz6lxkpVzfQA3WHl+kxEBYJkxEvzqKedq1vhhng7J2rH3mO0gRJKunjJSP9m2p1/2xGht3XqmfiPVZ0uUHbLCrTqNTMlcAWZQIwIga9Q3tWjFb9+09drKYKnuurJG92xJ3dpqdiibUTS77uV9umfL25bX5GadRrrn+gBeIRABkBUSjZdPZciAIq2+cZpmjhtmqu3WaG01u2VSWBDQzbOr9ehL/YeYJeNFnQaH2SEbsDUDIOPZGSBmOP7xKRUEAiosCKi13VygYPY6Q/SgNbO87DACMhmBCICMZ3eAmMGoxWj7qMvU9Wavi7ZgUpV+esNUpYotCgLST2+YSp0GcAaBCICMl25Rp1GLUTGo2NT1Zq+LdcXkkXro+mlJr3no+mm6YvJIW+8P5CJqRIA8li3HxO8/etLW62InolYGB5h63YiyUm3fe8zW7+WKyVV6uGAaJ98CJhGIAHkqW46J7wlH9PjOA5ZfFz0RVZK27z2m1vZOVQwqUltH4sFnQwYW6Tu/fqNPnYjV3wsdK4B5DDQD8lCiDpRMHHi1fe8xXf+zHZZfZwQPkvoFXFbF/l5iM0nTxwzVrvc+dC3oyJbMFWCw8vwmIwLkmVTHxAdkbZaG2+zUh9x15QW6eXa1tja3mm75rSwvUec/wjp+sn+2JPr3Eg5HdM+Wt/sENgUBKXpau9UprclkS+YKsItABMgzVo6Jd3oGhZ2/7K0M/TJqQm6eXS1JSVt+AzpdlPrvV16gyuAAhSMR3fjoKwnf2/i9fGvD6/1+FntkTGuoU4vXN2jIwKI+gY3VACJR5sqYAptJmSvALgIRIM/4dUy83b/sjUPcWkOdpjIbxnyO7SlGwUckHevoVmVwgGaNH6ZNjYcsfJrkjHXGZlesBBDZlrkC7KJ9F8gzfhwTn+i0XOPBXN/UkvC10cPCkj1uKwYVaXXUfA6rAZeb49YN0WPkU528ayVzBWQzAhEgz3h9THyqv+wl6e4n39LLe45qU+Mhbd97rN9DOtEhboGoD9HWcUr3bHm7N6ixGnCl+r04xWwA4VfmCvAaWzNAnjEyDEvWNyig+MfEOzl+3Mxf9q3tXX3qM+Jt2US3xD7T3KrHXt6v2J4/ozbjjnkTNbpioCoGFevDju64QVDsjJFUvxen2wtTBRB+ZK4AP5ARAfKQl8fE2/mL3QgofvLMX/tkSQoLAppRXaE/NrXGfZ0RLDzwzN90x6/eUFuSIETqH3Al+7389IZpjmZMUgUQXmeuAL+QEQHylFdDt+z8xR4dUBiMLElwQHFaM0Gk04FFoiLZZL+XggLFzZhYEZuJScTrzBXgFwaaAXBVTziiS+991nTXSyLG4/aW2WP185f3W379oJJC3TxrrC6ZcLZmjhtm+wEer/sndo7I0IFF+vDkqYQBhJWsE3NEkI2sPL8JRAA4JtGcEKNrRkqv1sKY/XGso9v2ezjxEDczWXVrc6tjAQSTVZFtCEQAeC7VX+7xfm5XWelZOtH5D1uv9XKMPQEE8hWBCABPmT27JvrBfPagEn3n12/o/fb0tmzsGjKgSKtvnNZvm4bgAUgfgQgAzxg1IIkyHUZx5kt3zu33QHdqyyYdqbI21GMA1ll5ftO+CyAt6UwATdQua0dRob2shTHdddUfm21PfwVgH+27ANKS7gTQ2HbZ/UdP6sfP/FWStSzJqR57ORXj3Jaf/d99nOsC+IBABIAtRi2F2UxBsnkihQWBPif9fqpysO5+slmt7d6ML49I/aa0xv7crROJgXxHIALAMqsdMPYmgFrPcAwsLtDJ7rDl15nFuS6A8zypEVm9erXGjh2r0tJSfe5zn9POnTu9uC0AFyQ6STeZu668wPSWhvH+re1dltf2r/80zvJrrOBcF8B5rgciv/zlL7V8+XLV1taqoaFBF110kb70pS/pyJEjbt8ayFs94Yi27z2W8DTbdN430Um6yQwdVOLq+xuqhw/WT2+Yavk8mIBOT0dN9nPOdQHc4frWzH/913/ptttu0y233CJJevjhh7Vlyxb9/Oc/14oVK/pc29XVpa6uT/4Kam9vd3t5QM5xswU1VYdMIma3NOy+v2FEWal27muzFMgY8cdt/1St/35xnyTOdQG85GpGpLu7W7t27dK8efM+uWFBgebNm6ft27f3u37VqlUKBoO9/0aNGuXm8oCck2jbxKkWVLs1Ema3NOy+v5GxmD5mqNa+vM/Sa40Th1deUePZicQAPuFqRuTo0aPq6enROeec0+f755xzjnbv3t3v+pUrV2r58uW9X7e3txOMACYl29ZwqgXVTo2ElS2N/Uc7LL9/dMZi13sf6vjHp0y9btmcCZo94ew+k1O9OpEYwCcyqmumpKREJSXm9pIB9GVlsJjdFtTpY4aqYlCx2iwcOmd2S6MnHNHjOw9YXlNE0jc/X60Fk6q0qfGQqdcMGVCkO+afH3ddsa3EANzlaiBy9tlnq7CwUO+//36f77///vuqrKx089ZA3kl3sFgqRu2J2SBk6MAirfryhX22NJKd47JzX5utThlJeuTFfZo6eqjpjM0ts8eS5QAyhKuBSHFxsaZPn65t27bpmmuukSSFw2Ft27ZNy5Ytc/PWQN4x+xC2s72S6FC7aEMHnqVZ44Zp3PAyzRo/rN9hcqmKaNOd0bHid29q5/fmqSpYqtZQ4oP0hg4s0rK5E9O6FwDnuL41s3z5ci1atEif/exnNWPGDP34xz9WR0dHbxcNAGfMqK5I+hA2Dp+z2oJqpqW2YlCRdqycp+Kz4te/JwpkWkKdWry+QQ99bYqOnrCXDTEcP3lKr+5rU+3CGi1Z36CA+o9EC0ha9eULyYYAGcT1OSJf/epXdf/99+v73/++pkyZosbGRtXX1/crYAWQnsKCgGoX1khSvzka6bSgmmmpbes4pV3vfdjne8Ysk42vH9L3Nr6ZNJBZ9kSj7tnytqV1xbP93aMJD9KrCpbq9nnnq+sfYUdnqwBIjyfFqsuWLWMrBvCA8RCO3QKpTDJHJFndhiRtbW41de/orRWrI+Cdc3rd82sqVVZSpO3vHpUU0FkF0hOvHtQDZw7Tk5ybrQIgPRnVNQMgfVZaUFPVbdQ3tejnL+83dV+j9sRMPYlbZo0fZjoIMmarMCME8BeBCJCDoltQE2U8EgUMxgN69Q1TTW+XVAwq0vQxQ9Me0Z6OwSVnKXSyW0s3vG7q/k7NVgGQHgIRIIclynjcdWWN7tmSfPjZv29qUluHueFgbR2n9L/ue05fu3iUD9sxp103/Vzds+VtS0GQE7NVAKSHQATIUckyHt/a0JD0tRHJdBAS/b4PPPM3a4t00HlDB9oOgtJtHQZgn+tdMwC8l2rcuxv87EGpCpaqYrD9qcx2ZqsAcAaBCJCD0j3F1lAxqLhfK3AmCZz5V7uwRpXl1oMJ47A8q7NVADiHQATIQa3t6QUhxgP6P66e1Pt1Joo+GdcY6GZ2renMVgHgHAIRIAe1fWR/Smn0A/qKyfGHg6UyuMTd8rNbZ4/V47fN1Et3zu1tvU020C2eQED61zOH5QHwD8WqQA6qGFRs+7Wxw8+i55K0tnfqnj+8lbCQNSBp6KAiy4WuZhUEpIeun6orJo+M+/NEA93iCUek/z5zWB7BCOAfMiJADqoMDrD1uruuvKBPliFWQUBaNGuspMRj5K+dcq6tewckDRlY1Fv3Ec9D109LGIQYFkyq0kt3ztXjt83UA1+doopBRUmvr9vczLh3wEdkRIAcZNRLWC1YPbuspF+9RLxZJEMGnn64Hz/5SebDyKQEBxTrMZPTWA3GHX/45QslKem0VzOMgW7b9x5Lmp1hjgjgPwIRIAcZ9RJWR63HtrEmmkViBCB3zDtfY88e2Gdia084kvQU4HgqBhXrB9dO6g00zI6oT8XsfBDmiAD+YWsGyFELJlVp9Q3TTNWLxGtjNTOufe2f9+mfJ4/UrPHDegOF6KJRs/79ygv6ZDuMjMbVU87t895WmZ0PwhwRwD8EIkCOqm9q0T1bmtXW0Z30ukRtrGZmkRw/eUrLNjRo+95jfeosjKJRs0WzsTUtPeGItu89pk2Nh/q9d6xk16Zq6U02R8TKGgDYx9YMkIOsnIAb2yVjaA19bOpeTzW16qmm1n51HAsmVWnup8/RzFXPJO2yqYwJBOqbWnT3k2+ptf2TFuTK8hLdfdVn+q0x1enB0VtUAfWd/ppsjkiq9wXgHDIiQI4xs6VSMahID3x1Sr9ZHNFSZVJiGaf21je19H6v+KwC/ee1F8bthIkXCNQ3tWjx+oY+QYgktbZ3aXHMexvBVmzWJnYdRnYmdhZKZbBUq2+YquCA4j5ZD7PvC8AZZESAHGNmS6Wt45Qqy0uTdooEByRve41lnNpbt7lZ82sqe4OLRLM9YjMxPeGIVvzuzaT3WPG7NzW/plI6c59kpwdHryN6FopRAPthR7fu2RKzpvJSdf6jx/T7AkgfgQiQY5zoFKlvalHdH96yfO9E7bDxAoHYTpgde4/1aQeO5/jJU9qx95gKCgJJg6146zAKYI3Pt3RDnJOJU4zGp90XcB6BCJBj0u0UsVJfkki8ICc6EIhn+7tHTb339nePauI5ZbbXYWbrys77ArCHGhEgx5g5/G3IgCKFI5F+nSBOPKQlu+2w5o+rSyfYcuJkYtp9AecQiAA5xszhb8c/PqUbH31Fs3/4bJ/iy3Qf0snaYVMxu9Uxa/ywtNpy08lmpPP5AMRHIALkoESdIrFa2zu1eH2D/viX08FIug9pKX47rBkzxw3rHR2fyNCBRZo5bljSYCvVOuxmM9L9fADiIxABcpRx+Nsvbv2cBhUXJr126eMN+uNfDuvswSW271cZLNWam6aZnrMROzBM+uSsmURWffnCft048dpyk63DTDZl6MAiVZb3/V1Y/XwAzAlEIpGMHRfY3t6uYDCoUCik8vJyv5cDZI2ecKS3Q+VIe5d+8Me3Tb3u374wQT/Ztsf0fZbNmaCJ5wy2fB5MsoFhknT3k819OliSDROL/qxm12EU5Erxh5ytuWmaY+fdAPnIyvObQATIMfEe8mYNGVCk4x8nb6GN9vhtMy23sSbqyvE6CGB6KuAeK89v2neBLJQoC5Bu662VIKQgIE0fM9TS+yfryokdGOb2nA4zs00AuI9ABMhQyYKNeH/J33XlBbpny9tpt96azYqEI9Ku9z60FDCk6srxemBYqtkmANxHIAJkoHjBRsWgYk0ZFdSzuz/od31rqFPf2vC6I/e+ZXa1Hnjmr6aufaa51dKD3ImprwByC4EIkGESba+0dXTHDUIkpZ0FkT45CXfZ3AmSInrgmb+lfM1jL++XJM2rqTS1rZHu1FeDnQJVAJmJQATIIE5NNrUqdkbGsrkT9fjOgynPXpFOByOPvbzfVKGn0TrbGupM+BlTDQyjyBTILcwRATwWOz8jesy6E+PH7QgOLOozI6OwIKC7r6qx9B6toU4tWd/QZ1JrrOhBZIlcdVFVwuyGkS2K/R2ZuTeAzEQgAniovqlFl977rK7/2Q792xONuv5nO3TpvZ+MWferNmJAUaHm11T2+d6CSVX6xuyxpt/DCKfqNjf3O8Mm9n3/9fPVCX/+3y/uixtQpOq4MXNvAJmHQATwiJm/5v06TM3oVIkVG5ykEt31kkhPOKIn30ieuYgXUFjpuAGQPQhEAA+Y/Wt++pihKU/OdUu8bIyZk3zNvpfBbkBBxw2QmwhEAA+Yffjueu/DlCfnuiVeNsbMSb5m38tgN6BwquMGQGYhEAE8YOXha/bkXEn6wqeH6455EyWlF7gk6lTpCUcUHFCsb8weq6GDkp+Ma6whVdeL3YDCTHZmyMAihcMR6kSALEIgAnjA6sN3waQqvfDdOapI8fBvbjmhZXMn6mGTgUsi8Y62jy6sfezl/WrrOKWKQcWa++nhkvoHPrEtwImYOf02XjBjJjtz/OQp3fjYK30KgAFkNgIRII5kLbZ22Hn47nrvQ7V1JB+1btRSLJhUpZfunKvHb5upZXPGW1rbLZeM6Td/449/OazFcQprP+zo1nO7P9A3P1/dL/CpDJb2aQFOJFlAkSqYMZstop0XyB4MNANiuDEwy3j4LlnfoIDiHz0f+/C1WkthnJtitVhz0xuH9blxw3oPgPvTWy1at/29uNca6/71rr/r5Tu/oMaDx21NNzUCitjfc6WJ37NxWN2Od49p6S8a4p6LE3uAHlNXgcxFIAJESTRe3fgL28xf/IlYefj2hCM6eqLL1PvGbvtYLdZs6zilxesbNGRgkY6fNHf6blvHKc2+91n957WTdPWUcy3dz5DO6beFBQEVBAJJD+fz+gA9APYQiABnWDmi3u5f2GYevvEyMvEYZ8PE1lKYGaMej9kgxNDW0Z12cJbO6be08wK5gRoR4AyvBmYZD9+rp5yrWeOH9QtC4g09i5WslsJuy61dfk0zpZ0XyA0EIsAZfv+FbeXAu1SFoVZagNPh5zRTu903ADILWzPAGX7/hW32wLu7rrxAN8+uTrk9FL0N9PKeo3rouT1OLbUfP7Y/7BQAA8g8ZESAM/z+C9vsw/zQ8Y9NP1yNbaA75p/v6uh4v7Y/EmV+zLYSA/AfGRHgDKf+wu4JR2x1gph9mG9qPKz/50prf+lHfzYnJSqY9VI63TcA/EcgAkRJZ76FlN4MkhnVFaoYVJRyiNmxjm5bLanGZ1vx2zeTtr2alUnbH+l03wDwF4EIEMPuX9jpziApLAjo2inn6rGX96dco92ajAWTqlRWWqQbH33F0uuGDDw9aj66xddscAYAyRCIAHFY/QvbqRkk82oqTQUi6dRkzBw3zPKckdCZAOSOeedr7NkD2f4A4BiKVQEHODWDxIuCWTtzRoyA5YlXD+ifJ4/sN/8EAOwiEAEc4NQMknQOhLPCzpwRP2eGAMhdBCKAA5ycQeJVS+qCSVV64btzVDGoyNLrGJkOwEmu1Yj84Ac/0JYtW9TY2Kji4mIdP37crVsBvkt1vovVNlc7BbPx2oYlJX2PXe99mLJLJxYj0wE4ybVApLu7W9ddd51mzZqlxx57zK3bABnBjSmfVgpm47UNx+t0iW0ltpLdyISZIQByj2tbM3V1dbrjjjt04YUXunULIKP4NeUz0UF5x0+e6neirtFKXN/UIsl6diMTZoYAyC0Z1b7b1dWlrq6u3q/b29t9XA1gnddTPq0clCf1byWePmaoqSFqZoeyAYBVGRWIrFq1SnV1dX4vAzAl0Sh3L6d8mj0oL5rR/fLQs3v0xKsHUgYhd8ybqGVzJ5IJAeAKS4HIihUrdO+99ya95u2339anP/1pW4tZuXKlli9f3vt1e3u7Ro0aZeu9ADelM8rdSel0sDzwzF+T/pwsCAAvWApEvvOd7+jmm29Oes24ceNsL6akpEQlJSW2Xw94Id1R7nYkyr641cFSXnqWnv3OZRpQXOjK+wOAwVIgMnz4cA0fPtyttQAZz6lR7lYky77Mr6m0PK7djPbOf2j2vdv0n9deyMm2AFzlWo3IgQMH1NbWpgMHDqinp0eNjY2SpAkTJmjw4MFu3RZwlZVR7k7UiZjJviRqG47HzDWGto5TWry+QUMGFiVtAQaAdLjWvvv9739fU6dOVW1trT766CNNnTpVU6dO1WuvvebWLQHXOTXK3YxU2Rfpk+xLvLbhoQOLemeJGCqDpbpj3kRL60jVAgwA6XAtI7Ju3TqtW7fOrbcHfOHkKPdUrGRfErUNG+8T+70nXj1oezvHrS0oAPmJs2YAC5w4HbcnHNH2vce0qfGQtu89pp5w/HDAavbFaBu+esq5SU/HjT5Yzy4OwAPglIyaIwJkunRHuVtp+003+5LoXnddWaOhg4p1y+yx+vWuv+tE5z9M3SceDsADkC4CEWStRC2tbjNGucc+5CtTFHFabftN5yC9RPdqCXXqWxsa+r2P3Y4bDsADkC4CEWQlvweKWR3lbqft1272xc7Yd6s4AA+AU6gRQdZJdMib190cZmsyJGuFp9HsHKRnZ+y7JMUuf+iZjpvYT2X3NGEAiIeMCLKKHwPFnJBO26/V7Ivduo1wRLrrygt0dllJ7z22Nrcm3YLya3sMQO4gEEFW8XqgmFPSLTy1cpBeOnUbZ5eV6Oop5/Z+nSwI8nt7DEBuYGsGWcXLgWJO6QlHFA5HNGRAUcJrzLT9mpWqxTiZoye6+rUTx9uCypTtMQDZj0AEWcXLgWJOqG9q0aX3PqsbH3tFxz8+Ffcap2suoueEWH23e7a8rUvvfTZpIGF24mui+SgAEI1ABFnFiYFiXkmUNYiVrPDUrkRFrmakymrYLbwFgHioEUFWSXegmFfMtNAOGVCk1TdO08xxyTtu7IpX3/FhR5fu2fJ2ykAiWdFvNm6PAchcZESQdey0tHrNTAvt8Y9PqSAQcDVoiq3vuGLySL1051x9Zdp5SV+XLKuRbdtjADIbGRFkJastrV7L9KzBM2+/b+q6eOtLZ+IrAMQiEEHWstLS6jWnswZOzuvYua8tYeGsmfVly/YYgOxAIAK4wMmsgdPzOp5pbjV13ZCBRQnXZ/e8HQCIRSACuMCprIHVg/JS6QlHtLHxkKlrb7mkOun6Mn17DEB2oFgVcEm6RbVuzOvYua9NbR2pt2UGl5ylZXMnpLzOynk7ABAPGRHARelkDdwYZ2+2OPZ/f/Y8ggoAniAQAVxmt6jWjc4bs8Wx82sqTb8nAKSDrRkgQ7kxr8PMOTSZMpkWQH4gEAEylBvj7JOdQxM488/4+fa9x7Sp8ZC27z3GuTEAXBOIRCIZ+/8w7e3tCgaDCoVCKi8v93s5gOeMrhkpfueN3UmyiVqCv3bxaLV/3K2NjYf6FLWm0y4MIP9YeX4TiAAZzuk5IoboIWn7j3bo8Z0H1NreFffadAMfAPmFQATIMU5OVo2VaFZJLGMI20t3zqWjBkBSVp7fdM0AWcCtcfZmTgk22GkXBoBUKFYF8piZU4Jj+XVQH4DcREYErnBzKyHXefm7sxNUWGkXBoBUCETgOLeKK/OB1787K0GFlYP6AMAstmbgKKPwMTbdbxzSVt/U4tPKMp8fvzszA86imTmoDwCsIBCBY9w4pC1f+PW7SzbgLFqVyYP6AMAqAhE4xsohbejLz99dolOChw0q1jdmj9Xjt83US3fOJQgB4ApqROAYNw5pyxd+/+7SOSUYANJBIALHuHFIWy6K1xWTCb87t2aVAEAyBCJwjFH42BrqjFvrQNdF4q6Yu66s4XcHIC9RIwLHpDrZVcrvrotkXTFLNzToqotO12DwuwOQTwhE4KhEhY+Ved51YaYr5sk3WrT6hqn87gDkFbZm4Dg3Cx8zcWKrmTWZ7YoZOqhEL905N+M+IwC4hUAErnCj8DETJ7aaXZOVrhiKRgHkE7ZmkBUycWKrlTVlQlcMAGQiAhFkvEyc2Gp1TalGqQd0OpNCVwyAfEMggoyXiRNbra6JjiIAiI9ABBnP76mj6dwr+jo6igCgP4pVkfEysb7C7L3OHlzS52tGqQNAX2REkPEysb4i1ZoM3/lVY79CWqMr5uop52rW+GEEIQDyGoEIMl4m1lckW1O099u7fOvqAYBsQCCCrJCJ9RXGms4pT7xN41dXDwBkC2pEkDW8qK+wOrl1waQqlZUU6cbHXkl4TXQHDYPKAKAvAhFkFTenjtqd3Hq0o8vU+3vZ1QMA2YKtGUDpTW7NxK4eAMgWBCLIe+lObs3Erh4AyBYEIsh76U5uzcSuHgDIFgQiyHtOTG7NxK4eAMgGFKsi7zlV48HUVACwzrWMyP79+3XrrbequrpaAwYM0Pjx41VbW6vu7m63bgnY4mSNB1NTAcAa1wKR3bt3KxwO65FHHtFbb72lBx54QA8//LC+973vuXVLwBZqPADAP4FIJOLZuMf77rtPa9as0bvvvmvq+vb2dgWDQYVCIZWXl7u8OuQ7u3NEAAB9WXl+e1ojEgqFVFGROL3d1dWlrq5PhkO1t7d7sSxAEjUeAOAHzwKRPXv26MEHH9T999+f8JpVq1aprq7OqyUB/bg5uRUA0J/lGpEVK1YoEAgk/bd79+4+rzl06JAWLFig6667TrfddlvC9165cqVCoVDvv4MHD1r/RAAAIGtYrhH54IMPdOzYsaTXjBs3TsXFxZKkw4cP67LLLtPMmTO1bt06FRSYj32oEQEAIPu4WiMyfPhwDR8+3NS1hw4d0pw5czR9+nStXbvWUhACAAByn2s1IocOHdJll12mMWPG6P7779cHH3zQ+7PKykq3bgsAALKIa4HI1q1btWfPHu3Zs0fnnXden5952DEMAAAymGt7JTfffLMikUjcfwAAABKH3gEAAB8RiAAAAN8QiAAAAN8QiAAAAN8QiAAAAN94eugdkC16whEOvwMADxCIADHqm1pUt7lZLaHO3u9VBUtVu7BGCyZV+bgyAMg9bM0AUeqbWrRkfUOfIESSWkOdWrK+QfVNLT6tDAByE4EIcEZPOKK6zc2KN3LP+F7d5mb1hBnKBwBOIRABzti5r61fJiRaRFJLqFM797V5tygAyHEEIsAZR04kDkLsXAcASI1ABDhjRFmpo9cBAFIjEAHOmFFdoapgqRI16QZ0untmRnWFl8sCgJxGIAKcUVgQUO3CGknqF4wYX9curGGeCAA4iEAEiLJgUpXW3DRNlcG+2y+VwVKtuWkac0QAwGEMNANiLJhUpfk1lUxWBQAPEIgAcRQWBDRr/DC/lwEAOY+tGQAA4BsCEQAA4BsCEQAA4BsCEQAA4BuKVdFPTziSUR0jmbYeAIBzCETQR31Ti+o2N/c5/K0qWKrahTW+zNDItPUAAJzF1gx61Te1aMn6hn4n0LaGOrVkfYPqm1ryej0AAOcRiEDS6e2Pus3NisT5mfG9us3N6gnHuyL31wMAcAeBCCRJO/e19cs8RItIagl1aue+trxcDwDAHQQikCQdOZH4oW/nunRl2noAAO4gEIEkaURZaeqLLFyXrkxbDwDAHQQikCTNqK5QVbBUiZpiAzrdrTKjuiIv1wMAcAeBCCSdPuStdmGNJPV7+Btf1y6s8Wx+R6atBwDgDgIR9FowqUprbpqmymDf7Y7KYKnW3DTN87kdmbYeAIDzApFIJGP7H9vb2xUMBhUKhVReXu73cvJGpk0yzbT1AACSs/L8ZrIq+iksCGjW+GF+L6NXpq0HAOActmYAAIBvCEQAAIBvCEQAAIBvCEQAAIBvCEQAAIBvCEQAAIBvCEQAAIBvCEQAAIBvCEQAAIBvMnqyqjF9vr293eeVAAAAs4zntplTZDI6EDlx4oQkadSoUT6vBAAAWHXixAkFg8Gk12T0oXfhcFiHDx9WWVmZAoH8OeSsvb1do0aN0sGDB/PysD8+f/5+/nz+7FJ+f/58/uxS7n3+SCSiEydOaOTIkSooSF4FktEZkYKCAp133nl+L8M35eXlOfFfSLv4/Pn7+fP5s0v5/fnz+bNLufX5U2VCDBSrAgAA3xCIAAAA3xCIZKCSkhLV1taqpKTE76X4gs+fv58/nz+7lN+fP58/u5Tfnz+ji1UBAEBuIyMCAAB8QyACAAB8QyACAAB8QyACAAB8QyACAAB8QyCSBa666iqNHj1apaWlqqqq0r/8y7/o8OHDfi/Ldfv379ett96q6upqDRgwQOPHj1dtba26u7v9XppnfvCDH+iSSy7RwIEDNWTIEL+X47rVq1dr7NixKi0t1ec+9znt3LnT7yV54sUXX9TChQs1cuRIBQIB/f73v/d7SZ5ZtWqVLr74YpWVlWnEiBG65ppr9M477/i9LM+sWbNGkydP7p2oOmvWLD311FN+L8tTBCJZYM6cOfrVr36ld955R7/97W+1d+9efeUrX/F7Wa7bvXu3wuGwHnnkEb311lt64IEH9PDDD+t73/ue30vzTHd3t6677jotWbLE76W47pe//KWWL1+u2tpaNTQ06KKLLtKXvvQlHTlyxO+lua6jo0MXXXSRVq9e7fdSPPfCCy9o6dKl2rFjh7Zu3apTp07pi1/8ojo6OvxemifOO+88/fCHP9SuXbv02muvae7cubr66qv11ltv+b0070SQdTZt2hQJBAKR7u5uv5fiuR/96EeR6upqv5fhubVr10aCwaDfy3DVjBkzIkuXLu39uqenJzJy5MjIqlWrfFyV9yRFNm7c6PcyfHPkyJGIpMgLL7zg91J8M3To0Mijjz7q9zI8Q0Yky7S1tekXv/iFLrnkEhUVFfm9HM+FQiFVVFT4vQw4rLu7W7t27dK8efN6v1dQUKB58+Zp+/btPq4MXguFQpKUl/877+np0RNPPKGOjg7NmjXL7+V4hkAkS9x5550aNGiQhg0bpgMHDmjTpk1+L8lze/bs0YMPPqhvfvObfi8FDjt69Kh6enp0zjnn9Pn+Oeeco9bWVp9WBa+Fw2Hdfvvtmj17tiZNmuT3cjzz5ptvavDgwSopKdHixYu1ceNG1dTU+L0szxCI+GTFihUKBAJJ/+3evbv3+u9+97t6/fXX9ac//UmFhYX6+te/rkiWTue3+tkl6dChQ1qwYIGuu+463XbbbT6t3Bl2Pj+QD5YuXaqmpiY98cQTfi/FU5/61KfU2NioV155RUuWLNGiRYvU3Nzs97I8w1kzPvnggw907NixpNeMGzdOxcXF/b7/97//XaNGjdKf//znrEzfWf3shw8f1mWXXaaZM2dq3bp1KijI7vjZzn/269at0+23367jx4+7vDp/dHd3a+DAgfrNb36ja665pvf7ixYt0vHjx/MqAxgIBLRx48Y+v4d8sGzZMm3atEkvvviiqqur/V6Or+bNm6fx48frkUce8XspnjjL7wXkq+HDh2v48OG2XhsOhyVJXV1dTi7JM1Y++6FDhzRnzhxNnz5da9euzfogRErvP/tcVVxcrOnTp2vbtm29D+BwOKxt27Zp2bJl/i4OropEIvr2t7+tjRs36vnnn8/7IEQ6/d/9bP3/dzsIRDLcK6+8oldffVWXXnqphg4dqr179+quu+7S+PHjszIbYsWhQ4d02WWXacyYMbr//vv1wQcf9P6ssrLSx5V558CBA2pra9OBAwfU09OjxsZGSdKECRM0ePBgfxfnsOXLl2vRokX67Gc/qxkzZujHP/6xOjo6dMstt/i9NNd99NFH2rNnT+/X+/btU2NjoyoqKjR69GgfV+a+pUuXasOGDdq0aZPKysp6a4KCwaAGDBjg8+rct3LlSl1++eUaPXq0Tpw4oQ0bNuj555/X008/7ffSvONv0w5S+ctf/hKZM2dOpKKiIlJSUhIZO3ZsZPHixZG///3vfi/NdWvXro1IivsvXyxatCju53/uuef8XporHnzwwcjo0aMjxcXFkRkzZkR27Njh95I88dxzz8X9z3nRokV+L811if43vnbtWr+X5olvfOMbkTFjxkSKi4sjw4cPj3zhC1+I/OlPf/J7WZ6iRgQAAPgm+zfcAQBA1iIQAQAAviEQAQAAviEQAQAAviEQAQAAviEQAQAAviEQAQAAviEQAQAAviEQAQAAviEQAQAAviEQAQAAvvn/ARsiJ9xVzHReAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(1)\n",
    "NDIMS = 2\n",
    "X = np.dot(np.random.random(size=(NDIMS, NDIMS)), np.random.normal(size=(NDIMS, 200))).T\n",
    "X[:,1] = 3 * X[:,1]  # Rescale one dimension\n",
    "plt.plot(X[:, 0], X[:, 1], 'o')\n",
    "plt.axis('equal');\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(200, 2)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After computing PCA, we can instead remap the data onto two dimensions. In this example, this results in the first dimension being the line of best fit, and the second dimension is the (only) dimension orthogonal to it.\n",
    "\n",
    "We will use the scikit-learn library for doing this analysis. Statsmodels also has a PCA function, which is comparable to this example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-1 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: black;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-1 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-1 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-1 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: block;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content {\n",
       "  max-height: 0;\n",
       "  max-width: 0;\n",
       "  overflow: hidden;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  max-height: 200px;\n",
       "  max-width: 100%;\n",
       "  overflow: auto;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-1 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-1 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-1 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-1 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-1 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-1 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-1 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-1 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-1 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 1ex;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-1 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-1 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-1 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "</style><div id=\"sk-container-id-1\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>PCA(n_components=2)</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-1\" type=\"checkbox\" checked><label for=\"sk-estimator-id-1\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow fitted\">&nbsp;&nbsp;PCA<a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.4/modules/generated/sklearn.decomposition.PCA.html\">?<span>Documentation for PCA</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></label><div class=\"sk-toggleable__content fitted\"><pre>PCA(n_components=2)</pre></div> </div></div></div></div>"
      ],
      "text/plain": [
       "PCA(n_components=2)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA\n",
    "pca = PCA(n_components=2)\n",
    "pca.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.94571587, 0.05428413])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the above data, we can see if we use just one variables though (the original data has 2 variables), we explain 97.6% of the data! Then, we see that if we use all the new features, we explain all the original data (do a cumulative sum) - no information is lost in a PCA transformation, it is just reshaped. Visually this becomes more obvious, especially if we plot the dimensions onto our data.\n",
    "\n",
    "First, we get the linear combinations that make up the new features:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.6526988,  0.7576175],\n",
       "       [-0.7576175,  0.6526988]])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.components_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These two vectors represent the lines of the new, transformed dimensions.\n",
    "    \n",
    "You might notice these vectors are orthogonal - this is an expected outcome of the algorithm. We can visualise this result by plotting these lines on top of our graph."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the original data\n",
    "plt.plot(X[:, 0], X[:, 1], 'o', alpha=0.5)\n",
    "\n",
    "# Loop through all the principle components from the model and plot them as a line\n",
    "for length, vector in zip(pca.explained_variance_, pca.components_):\n",
    "    v = vector * 3 * np.sqrt(length)  # The \"3\" just scales so the graph looks good\n",
    "    plt.plot([0, v[0]], [0, v[1]], '-k', lw=3)\n",
    "plt.axis('equal');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the above graph, we plot the original data, and then the two dimensions found by PCA. The length of the new dimensions are the (relative) weighting.  You can see the first dimension points down and to the left. This is the dimension that explains more than 90% of the data. In other words, if we only knew where a point sits on this line, we have about 94% of the information, compared to if we new its original $X_1$ and $X_2$ values.\n",
    "\n",
    "For a given data point, we can see where it fits on this line:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 2)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca.components_.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[-0.51379022]\n",
      " [-1.51792226]]\n"
     ]
    }
   ],
   "source": [
    "data_index = 36  # Get the data point with this index\n",
    "\n",
    "point = X[data_index].reshape(-1, 2).T\n",
    "print(point)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we have a point from our original dataset, we project it onto the first dimension found from PCA. Transforming the original data point, gives the position of the point in the new space.\n",
    "\n",
    "We set the second projected dimension to zero, so we are just projecting the point onto the first dimension. This reduces the size of the dataset, but as we saw above, it retains more than 97% of the information."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[array([-0.94420038]) array([-1.14711747])]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\Python311\\Lib\\site-packages\\sklearn\\decomposition\\_base.py:188: VisibleDeprecationWarning: Creating an ndarray from ragged nested sequences (which is a list-or-tuple of lists-or-tuples-or ndarrays with different lengths or shapes) is deprecated. If you meant to do this, you must specify 'dtype=object' when creating the ndarray.\n",
      "  return X @ self.components_ + self.mean_\n"
     ]
    }
   ],
   "source": [
    "# Invert the transform to project back into the original space\n",
    "transformed_point = pca.inverse_transform([pca.transform(point.T).T[0], 0])\n",
    "print(transformed_point)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To highlight this further, the next segment of code shows the transition from the original data point (in red) to the new data point in yellow in the PCA analysis, which sits on the line found by the PCA model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.patches.FancyArrow at 0x25bdc5e5b90>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Start with the same plot as before\n",
    "plt.plot(X[:, 0], X[:, 1], 'o', alpha=0.5)\n",
    "for length, vector in zip(pca.explained_variance_, pca.components_):\n",
    "    v = vector * 3 * np.sqrt(length)  # The \"3\" just scales so the graph looks good\n",
    "    plt.plot([0, v[0]], [0, v[1]], '-k', lw=3)\n",
    "plt.axis('equal');\n",
    "\n",
    "# Plot our fixed point in red\n",
    "plt.plot(point[0], point[1], 'ro', markersize=10)\n",
    "\n",
    "# Plot the transformed data in orange\n",
    "plt.plot(transformed_point[0], transformed_point[1], 'yo', markersize=10)\n",
    "\n",
    "\n",
    "# Zoom into the point to see the transformation more clearly\n",
    "bbox_size = 0.4\n",
    "plt.xlim(point[0] - bbox_size, point[0] + bbox_size)\n",
    "plt.ylim(point[1] - bbox_size, point[1] + bbox_size)\n",
    "\n",
    "# Draw an arrow from the first point to the second\n",
    "start_x = point[0, 0]\n",
    "start_y = point[1, 0]\n",
    "dx = (transformed_point[0] - point[0])[0]\n",
    "dy = (transformed_point[1] - point[1])[0]\n",
    "\n",
    "plt.arrow(start_x, start_y, dx, dy,\n",
    "              head_width=0.05, length_includes_head=True, width=0.01, facecolor='orange', edgecolor='black',\n",
    "         alpha=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As per the above graph, when we project the red point onto just the first dimension it \"moves\" the point to the position on that line. Specifically, it moves the point to the line *in the direction orthogonal to the line*. This is opposed to, say, moving vertically until we hit the line (i.e. an arrow pointing straight up), which is a different type of transformation, more akin to what a linear regression would do."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercise\n",
    "\n",
    "Use the `statsmodels` library to perform a PCA analysis on the above data, reducing a dataset to fewer features. Extract the transformed data, and the components (lines) themselves. Note that statsmodels refers to these as Eigenvectors, rather than components."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.70710678,  0.70710678],\n",
       "       [ 0.70710678, -0.70710678]])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from statsmodels.multivariate.pca import PCA\n",
    "model = PCA(X)\n",
    "components = model.eigenvecs\n",
    "components"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*For solutions, see `solutions/pca_statsmodels.py`*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PCA on Digits example\n",
    "\n",
    "To further highlight the power of PCA, we are going to take a dataset of hand-drawn digits with 64 dimensions per digit, run a PCA analysis and plot it onto just two dimensions. This reduces the dataset to approximately 1/32 of the original size. First, let's have a look at what the data looks like:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_digits\n",
    "digits = load_digits()\n",
    "X = digits.data\n",
    "y = digits.target"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.,  0.,  5., 13.,  9.,  1.,  0.,  0.,  0.,  0., 13., 15., 10.,\n",
       "       15.,  5.,  0.,  0.,  3., 15.,  2.,  0., 11.,  8.,  0.,  0.,  4.,\n",
       "       12.,  0.,  0.,  8.,  8.,  0.,  0.,  5.,  8.,  0.,  0.,  9.,  8.,\n",
       "        0.,  0.,  4., 11.,  0.,  1., 12.,  7.,  0.,  0.,  2., 14.,  5.,\n",
       "       10., 12.,  0.,  0.,  0.,  0.,  6., 13., 10.,  0.,  0.,  0.])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1797, 64)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A number 0\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMAAAADFCAYAAAACEf20AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy88F64QAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAKiklEQVR4nO3dbUhT/R/H8c9mpCVzlffi6AYKs7IbLQkrjEYRSfQkJAzKwqBmdwZFT7IIsp5EDwqtoCzoxp5EEWTEyMRULH1SRPdBK5t2h1rRDHf+D/60/19K69jvnJ31/bxgcHnafvteu3xfZ2s7OzZN0zQQCWUP9wBE4cQASDQGQKIxABKNAZBoDIBEYwAk2jCz7zAYDKK9vR0OhwM2m83suychNE1DT08P0tLSYLcP/P950wNob2+Hy+Uy+25JKJ/Ph/T09AH/3PQAHA4HgP8OFhcXZ/bdD6qlpUXpeps2bVK21vLly5WttXPnTmVrxcTEKFtLpe7ubrhcrtDv20BMD+DH0564uDjLBRAbG6t0vaioKGVrRUdHK1tL5eNu1QB++N3TbL4IJtEYAInGAEi0IQVw7NgxjBs3DjExMcjNzVX+4pHILLoDqKmpQVlZGcrLy9HW1obp06djyZIl6OzsNGI+IkPpDuDw4cMoKSlBcXExMjMzUVVVhZEjR+LUqVNGzEdkKF0B9Pb2orW1FW63+38L2O1wu91oamr65W0CgQC6u7v7XYisQlcA79+/R19fH5KTk/ttT05Oht/v/+VtKioq4HQ6Qxe+C0xWYvjfAu3evRtdXV2hi8/nM/ouif6YrneCExISEBUVhY6Ojn7bOzo6kJKS8svbREdHK30Xk0glXXuA4cOHIzs7G16vN7QtGAzC6/Vi7ty5yocjMpruzwKVlZVhzZo1yMnJwZw5c3DkyBF8+fIFxcXFRsxHZCjdARQWFuLdu3fYs2cP/H4/ZsyYgdra2p9eGBNFgiF9GrS0tBSlpaWqZyEyHT8LRKIxABLN9ANirGzdunVK13v06JGytT5+/KhsrREjRihbq7GxUdlaAEz/20TuAUg0BkCiMQASjQGQaAyARGMAJBoDINEYAInGAEg0BkCiMQASjQGQaAyARGMAJBoDINEYAInGAEg0BkCiRfwhkSq/alHlIYyA2sMYR48erWwtlXPxkEiiCMYASDQGQKIxABKNAZBoDIBE0xVARUUFZs+eDYfDgaSkJKxYsQKPHz82ajYiw+kK4Pbt2/B4PGhubsbNmzfx/ft3LF68GF++fDFqPiJD6XojrLa2tt/P1dXVSEpKQmtrKxYsWPDL2wQCAQQCgdDPPEskWclfvQbo6uoCAIwZM2bA6/AskWRlQw4gGAxi27ZtyMvLw9SpUwe8Hs8SSVY25M8CeTwePHjwAA0NDYNej2eJJCsb8imSrl27hvr6eqSnp6ueicg0ugLQNA2bN2/G5cuXUVdXh/Hjxxs1F5EpdAXg8Xhw/vx5XLlyBQ6HA36/HwDgdDqVnnWEyCy6XgRXVlaiq6sL+fn5SE1NDV1qamqMmo/IULqfAhH9S/hZIBKNAZBoEX9McE9Pj7K18vPzla0FqD2OV6U5c+aEewTL4B6ARGMAJBoDINEYAInGAEg0BkCiMQASjQGQaAyARGMAJBoDINEYAInGAEg0BkCiMQASjQGQaAyARGMAJFrEHxL54wt6VSgoKFC2lpWpPE3qYF+MHAm4ByDRGACJxgBINAZAojEAEu2vAjh48CBsNhu2bdumaBwicw05gLt37+L48ePIyspSOQ+RqYYUwOfPn1FUVISTJ09a9uv/iP7EkALweDxYtmwZ3G73b68bCATQ3d3d70JkFbrfCb548SLa2tpw9+7dP7p+RUUF9u3bp3swIjPo2gP4fD5s3boV586dQ0xMzB/dhqdJJSvTtQdobW1FZ2cnZs2aFdrW19eH+vp6HD16FIFAAFFRUf1uw9OkkpXpCmDRokW4f/9+v23FxcXIyMjArl27fvrlJ7I6XQE4HI6fzgofGxuL+Pj4Qc8WT2RVfCeYRPvr4wHq6uoUjEEUHtwDkGgMgESL+EMinU6nsrVaWlqUraXat2/flK3V2NiobK21a9cqWyscuAcg0RgAicYASDQGQKIxABKNAZBoDIBEYwAkGgMg0RgAicYASDQGQKIxABKNAZBoDIBEYwAkGgMg0RgAiRbxh0SmpqYqW8vr9SpbCwCampqUrXX27Flla6m0Zs2acI/wV7gHINEYAInGAEg0BkCiMQASjQGQaLoDePPmDVavXo34+HiMGDEC06ZNw71794yYjchwut4H+PTpE/Ly8rBw4UJcv34diYmJePr0Kc8USRFLVwCHDh2Cy+XC6dOnQ9vGjx8/6G0CgQACgUDoZ54lkqxE11Ogq1evIicnBytXrkRSUhJmzpyJkydPDnqbiooKOJ3O0MXlcv3VwEQq6QrgxYsXqKysxMSJE3Hjxg1s3LgRW7ZswZkzZwa8Dc8SSVam6ylQMBhETk4ODhw4AACYOXMmHjx4gKqqqgE/E8KzRJKV6doDpKamIjMzs9+2yZMn49WrV0qHIjKLrgDy8vLw+PHjftuePHmCsWPHKh2KyCy6Ati+fTuam5tx4MABPHv2DOfPn8eJEyfg8XiMmo/IULoCmD17Ni5fvowLFy5g6tSp2L9/P44cOYKioiKj5iMylO4DYgoKClBQUGDELESm42eBSDQGQKJF/DHBKj+HpPq423Xr1ilbKz8/X9lat27dUrZWpOMegERjACQaAyDRGACJxgBINAZAojEAEo0BkGgMgERjACQaAyDRGACJxgBINAZAojEAEo0BkGgMgEQz/YgwTdMAWPNLcr9+/ap0vb6+PmVr9fb2KlvLio+9aj/+HX/8vg3Epv3uGoq9fv2aX5BLpvH5fEhPTx/wz00PIBgMor29HQ6HAzab7ZfX6e7uhsvlgs/nQ1xcnJnjEf6Nx1/TNPT09CAtLQ12+8DP9E1/CmS32wct8v/FxcVF7H+Af0GkP/5Op/O31+GLYBKNAZBolgwgOjoa5eXlPK9AmEh6/E1/EUxkJZbcAxCZhQGQaAyARGMAJBoDINEsGcCxY8cwbtw4xMTEIDc3Fy0tLeEeSYS9e/fCZrP1u2RkZIR7LENZLoCamhqUlZWhvLwcbW1tmD59OpYsWYLOzs5wjybClClT8Pbt29CloaEh3CMZynIBHD58GCUlJSguLkZmZiaqqqowcuRInDp1KtyjiTBs2DCkpKSELgkJCeEeyVCWCqC3txetra1wu92hbXa7HW63G01NTWGcTI6nT58iLS0NEyZMQFFR0T9/EnRLBfD+/Xv09fUhOTm53/bk5GT4/f4wTSVHbm4uqqurUVtbi8rKSrx8+RLz589HT09PuEczTMSfI4zUWbp0aeifs7KykJubi7Fjx+LSpUtYv359GCczjqX2AAkJCYiKikJHR0e/7R0dHUhJSQnTVHKNGjUKkyZNwrNnz8I9imEsFcDw4cORnZ0Nr9cb2hYMBuH1ejF37twwTibT58+f8fz5c6SmpoZ7FONoFnPx4kUtOjpaq66u1h4+fKht2LBBGzVqlOb3+8M92j9vx44dWl1dnfby5Uvtzp07mtvt1hISErTOzs5wj2YYy70GKCwsxLt377Bnzx74/X7MmDEDtbW1P70wJvVev36NVatW4cOHD0hMTMS8efPQ3NyMxMTEcI9mGB4PQKJZ6jUAkdkYAInGAEg0BkCiMQASjQGQaAyARGMAJBoDINEYAInGAEi0/wCVV6VAV+QF4wAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1800x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(18, 2))\n",
    "ax.imshow(X[0].reshape(8,8), interpolation='nearest', cmap=\"Greys\")\n",
    "print(\"A number 0\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this example, the first data point is a hand drawn zero. All data has 64 dimensions, which are the pixel intensities for an 8 by 8 matrix. Another example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "A number 4\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1800x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(18, 2))\n",
    "ax.imshow(X[4].reshape(8,8), interpolation='nearest', cmap=\"Greys\")\n",
    "print(\"A number 4\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.0"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X[4,0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the original dimensions, the first variable is simply \"how dark is the pixel in this spot?\". Higher values are darker for that pixel.\n",
    "\n",
    "This, by itself, isn't very useful. If I told you \"the first pixel is white\", you have very little information on what the number is.\n",
    "In the below visualisation, we can see this in action. If we take the first $n$ dimensions, we get very little information about the number. The figure in \"approx\" is what we know after taking just the first six features:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1320x240 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from custom import figures\n",
    "figures.plot_image_components(X[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We start with a base image (all white), add the value for the first pixel (still white), second, third (we see a non-white value). After 6 variables, all we have is the image on the right labelled \"Approx\". It would be unlikely you would \"know\" it is a zero after just this amount of data!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using PCA, we can map these dimensions to more useful set of features:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>#sk-container-id-2 {\n",
       "  /* Definition of color scheme common for light and dark mode */\n",
       "  --sklearn-color-text: black;\n",
       "  --sklearn-color-line: gray;\n",
       "  /* Definition of color scheme for unfitted estimators */\n",
       "  --sklearn-color-unfitted-level-0: #fff5e6;\n",
       "  --sklearn-color-unfitted-level-1: #f6e4d2;\n",
       "  --sklearn-color-unfitted-level-2: #ffe0b3;\n",
       "  --sklearn-color-unfitted-level-3: chocolate;\n",
       "  /* Definition of color scheme for fitted estimators */\n",
       "  --sklearn-color-fitted-level-0: #f0f8ff;\n",
       "  --sklearn-color-fitted-level-1: #d4ebff;\n",
       "  --sklearn-color-fitted-level-2: #b3dbfd;\n",
       "  --sklearn-color-fitted-level-3: cornflowerblue;\n",
       "\n",
       "  /* Specific color for light theme */\n",
       "  --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, white)));\n",
       "  --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, black)));\n",
       "  --sklearn-color-icon: #696969;\n",
       "\n",
       "  @media (prefers-color-scheme: dark) {\n",
       "    /* Redefinition of color scheme for dark theme */\n",
       "    --sklearn-color-text-on-default-background: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-background: var(--sg-background-color, var(--theme-background, var(--jp-layout-color0, #111)));\n",
       "    --sklearn-color-border-box: var(--sg-text-color, var(--theme-code-foreground, var(--jp-content-font-color1, white)));\n",
       "    --sklearn-color-icon: #878787;\n",
       "  }\n",
       "}\n",
       "\n",
       "#sk-container-id-2 {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 pre {\n",
       "  padding: 0;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 input.sk-hidden--visually {\n",
       "  border: 0;\n",
       "  clip: rect(1px 1px 1px 1px);\n",
       "  clip: rect(1px, 1px, 1px, 1px);\n",
       "  height: 1px;\n",
       "  margin: -1px;\n",
       "  overflow: hidden;\n",
       "  padding: 0;\n",
       "  position: absolute;\n",
       "  width: 1px;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-dashed-wrapped {\n",
       "  border: 1px dashed var(--sklearn-color-line);\n",
       "  margin: 0 0.4em 0.5em 0.4em;\n",
       "  box-sizing: border-box;\n",
       "  padding-bottom: 0.4em;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-container {\n",
       "  /* jupyter's `normalize.less` sets `[hidden] { display: none; }`\n",
       "     but bootstrap.min.css set `[hidden] { display: none !important; }`\n",
       "     so we also need the `!important` here to be able to override the\n",
       "     default hidden behavior on the sphinx rendered scikit-learn.org.\n",
       "     See: https://github.com/scikit-learn/scikit-learn/issues/21755 */\n",
       "  display: inline-block !important;\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-text-repr-fallback {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       "div.sk-parallel-item,\n",
       "div.sk-serial,\n",
       "div.sk-item {\n",
       "  /* draw centered vertical line to link estimators */\n",
       "  background-image: linear-gradient(var(--sklearn-color-text-on-default-background), var(--sklearn-color-text-on-default-background));\n",
       "  background-size: 2px 100%;\n",
       "  background-repeat: no-repeat;\n",
       "  background-position: center center;\n",
       "}\n",
       "\n",
       "/* Parallel-specific style estimator block */\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel-item::after {\n",
       "  content: \"\";\n",
       "  width: 100%;\n",
       "  border-bottom: 2px solid var(--sklearn-color-text-on-default-background);\n",
       "  flex-grow: 1;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel {\n",
       "  display: flex;\n",
       "  align-items: stretch;\n",
       "  justify-content: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  position: relative;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel-item {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel-item:first-child::after {\n",
       "  align-self: flex-end;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel-item:last-child::after {\n",
       "  align-self: flex-start;\n",
       "  width: 50%;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-parallel-item:only-child::after {\n",
       "  width: 0;\n",
       "}\n",
       "\n",
       "/* Serial-specific style estimator block */\n",
       "\n",
       "#sk-container-id-2 div.sk-serial {\n",
       "  display: flex;\n",
       "  flex-direction: column;\n",
       "  align-items: center;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  padding-right: 1em;\n",
       "  padding-left: 1em;\n",
       "}\n",
       "\n",
       "\n",
       "/* Toggleable style: style used for estimator/Pipeline/ColumnTransformer box that is\n",
       "clickable and can be expanded/collapsed.\n",
       "- Pipeline and ColumnTransformer use this feature and define the default style\n",
       "- Estimators will overwrite some part of the style using the `sk-estimator` class\n",
       "*/\n",
       "\n",
       "/* Pipeline and ColumnTransformer style (default) */\n",
       "\n",
       "#sk-container-id-2 div.sk-toggleable {\n",
       "  /* Default theme specific background. It is overwritten whether we have a\n",
       "  specific estimator or a Pipeline/ColumnTransformer */\n",
       "  background-color: var(--sklearn-color-background);\n",
       "}\n",
       "\n",
       "/* Toggleable label */\n",
       "#sk-container-id-2 label.sk-toggleable__label {\n",
       "  cursor: pointer;\n",
       "  display: block;\n",
       "  width: 100%;\n",
       "  margin-bottom: 0;\n",
       "  padding: 0.5em;\n",
       "  box-sizing: border-box;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 label.sk-toggleable__label-arrow:before {\n",
       "  /* Arrow on the left of the label */\n",
       "  content: \"▸\";\n",
       "  float: left;\n",
       "  margin-right: 0.25em;\n",
       "  color: var(--sklearn-color-icon);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 label.sk-toggleable__label-arrow:hover:before {\n",
       "  color: var(--sklearn-color-text);\n",
       "}\n",
       "\n",
       "/* Toggleable content - dropdown */\n",
       "\n",
       "#sk-container-id-2 div.sk-toggleable__content {\n",
       "  max-height: 0;\n",
       "  max-width: 0;\n",
       "  overflow: hidden;\n",
       "  text-align: left;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-toggleable__content.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-toggleable__content pre {\n",
       "  margin: 0.2em;\n",
       "  border-radius: 0.25em;\n",
       "  color: var(--sklearn-color-text);\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-toggleable__content.fitted pre {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 input.sk-toggleable__control:checked~div.sk-toggleable__content {\n",
       "  /* Expand drop-down */\n",
       "  max-height: 200px;\n",
       "  max-width: 100%;\n",
       "  overflow: auto;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 input.sk-toggleable__control:checked~label.sk-toggleable__label-arrow:before {\n",
       "  content: \"▾\";\n",
       "}\n",
       "\n",
       "/* Pipeline/ColumnTransformer-specific style */\n",
       "\n",
       "#sk-container-id-2 div.sk-label input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-label.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator-specific style */\n",
       "\n",
       "/* Colorize estimator box */\n",
       "#sk-container-id-2 div.sk-estimator input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-estimator.fitted input.sk-toggleable__control:checked~label.sk-toggleable__label {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-label label.sk-toggleable__label,\n",
       "#sk-container-id-2 div.sk-label label {\n",
       "  /* The background is the default theme color */\n",
       "  color: var(--sklearn-color-text-on-default-background);\n",
       "}\n",
       "\n",
       "/* On hover, darken the color of the background */\n",
       "#sk-container-id-2 div.sk-label:hover label.sk-toggleable__label {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "/* Label box, darken color on hover, fitted */\n",
       "#sk-container-id-2 div.sk-label.fitted:hover label.sk-toggleable__label.fitted {\n",
       "  color: var(--sklearn-color-text);\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Estimator label */\n",
       "\n",
       "#sk-container-id-2 div.sk-label label {\n",
       "  font-family: monospace;\n",
       "  font-weight: bold;\n",
       "  display: inline-block;\n",
       "  line-height: 1.2em;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-label-container {\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       "/* Estimator-specific */\n",
       "#sk-container-id-2 div.sk-estimator {\n",
       "  font-family: monospace;\n",
       "  border: 1px dotted var(--sklearn-color-border-box);\n",
       "  border-radius: 0.25em;\n",
       "  box-sizing: border-box;\n",
       "  margin-bottom: 0.5em;\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-0);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-estimator.fitted {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-0);\n",
       "}\n",
       "\n",
       "/* on hover */\n",
       "#sk-container-id-2 div.sk-estimator:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-2);\n",
       "}\n",
       "\n",
       "#sk-container-id-2 div.sk-estimator.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-2);\n",
       "}\n",
       "\n",
       "/* Specification for estimator info (e.g. \"i\" and \"?\") */\n",
       "\n",
       "/* Common style for \"i\" and \"?\" */\n",
       "\n",
       ".sk-estimator-doc-link,\n",
       "a:link.sk-estimator-doc-link,\n",
       "a:visited.sk-estimator-doc-link {\n",
       "  float: right;\n",
       "  font-size: smaller;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1em;\n",
       "  height: 1em;\n",
       "  width: 1em;\n",
       "  text-decoration: none !important;\n",
       "  margin-left: 1ex;\n",
       "  /* unfitted */\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted,\n",
       "a:link.sk-estimator-doc-link.fitted,\n",
       "a:visited.sk-estimator-doc-link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "div.sk-estimator:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link:hover,\n",
       ".sk-estimator-doc-link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "div.sk-estimator.fitted:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover,\n",
       "div.sk-label-container:hover .sk-estimator-doc-link.fitted:hover,\n",
       ".sk-estimator-doc-link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "/* Span, style for the box shown on hovering the info icon */\n",
       ".sk-estimator-doc-link span {\n",
       "  display: none;\n",
       "  z-index: 9999;\n",
       "  position: relative;\n",
       "  font-weight: normal;\n",
       "  right: .2ex;\n",
       "  padding: .5ex;\n",
       "  margin: .5ex;\n",
       "  width: min-content;\n",
       "  min-width: 20ex;\n",
       "  max-width: 50ex;\n",
       "  color: var(--sklearn-color-text);\n",
       "  box-shadow: 2pt 2pt 4pt #999;\n",
       "  /* unfitted */\n",
       "  background: var(--sklearn-color-unfitted-level-0);\n",
       "  border: .5pt solid var(--sklearn-color-unfitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link.fitted span {\n",
       "  /* fitted */\n",
       "  background: var(--sklearn-color-fitted-level-0);\n",
       "  border: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "\n",
       ".sk-estimator-doc-link:hover span {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       "/* \"?\"-specific style due to the `<a>` HTML tag */\n",
       "\n",
       "#sk-container-id-2 a.estimator_doc_link {\n",
       "  float: right;\n",
       "  font-size: 1rem;\n",
       "  line-height: 1em;\n",
       "  font-family: monospace;\n",
       "  background-color: var(--sklearn-color-background);\n",
       "  border-radius: 1rem;\n",
       "  height: 1rem;\n",
       "  width: 1rem;\n",
       "  text-decoration: none;\n",
       "  /* unfitted */\n",
       "  color: var(--sklearn-color-unfitted-level-1);\n",
       "  border: var(--sklearn-color-unfitted-level-1) 1pt solid;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 a.estimator_doc_link.fitted {\n",
       "  /* fitted */\n",
       "  border: var(--sklearn-color-fitted-level-1) 1pt solid;\n",
       "  color: var(--sklearn-color-fitted-level-1);\n",
       "}\n",
       "\n",
       "/* On hover */\n",
       "#sk-container-id-2 a.estimator_doc_link:hover {\n",
       "  /* unfitted */\n",
       "  background-color: var(--sklearn-color-unfitted-level-3);\n",
       "  color: var(--sklearn-color-background);\n",
       "  text-decoration: none;\n",
       "}\n",
       "\n",
       "#sk-container-id-2 a.estimator_doc_link.fitted:hover {\n",
       "  /* fitted */\n",
       "  background-color: var(--sklearn-color-fitted-level-3);\n",
       "}\n",
       "</style><div id=\"sk-container-id-2\" class=\"sk-top-container\"><div class=\"sk-text-repr-fallback\"><pre>PCA()</pre><b>In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook. <br />On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.</b></div><div class=\"sk-container\" hidden><div class=\"sk-item\"><div class=\"sk-estimator fitted sk-toggleable\"><input class=\"sk-toggleable__control sk-hidden--visually\" id=\"sk-estimator-id-2\" type=\"checkbox\" checked><label for=\"sk-estimator-id-2\" class=\"sk-toggleable__label fitted sk-toggleable__label-arrow fitted\">&nbsp;&nbsp;PCA<a class=\"sk-estimator-doc-link fitted\" rel=\"noreferrer\" target=\"_blank\" href=\"https://scikit-learn.org/1.4/modules/generated/sklearn.decomposition.PCA.html\">?<span>Documentation for PCA</span></a><span class=\"sk-estimator-doc-link fitted\">i<span>Fitted</span></span></label><div class=\"sk-toggleable__content fitted\"><pre>PCA()</pre></div> </div></div></div></div>"
      ],
      "text/plain": [
       "PCA()"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.decomposition import PCA  # Repeated to highlight we are using sklearn's PCA implementation here\n",
    "digits_pca = PCA()\n",
    "digits_pca.fit(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_transformed = digits_pca.transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "22e3e0a1b8e7484d8a16dd6196506d75",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(IntSlider(value=0, description='i', max=1796), Output()), _dom_classes=('widget-interact…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from custom import figures\n",
    "# Move the slider to view a different sample from the database. i is the index of the data point.\n",
    "figures.plot_pca_interactive(X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, we start with a bias / base image of a weird \"S\" shape. The PCA analysis has found that this (the mean of the data) is the most useful place to start. The first dimension is visually represented under $c_1$ (the first component). It's weight for this image is -1.26. We multiply the first component by this weight, and add the result to the base image. We still have the S shape for now. Doing the same thing for the second component, suddenly, and with just 2 variables, we get a very clear \"zero\" in the output in the $c_2$ column at the bottom. After just 6 variables, we have a very clear zero. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visualising all data points\n",
    "\n",
    "PCA is very useful for visualising data points. Humans can only see in 3 dimensions at maximum, and most communication mediums (reports, journals etc) only allow printing in two dimensions. For this reason, we need to compress our data from its original data point down to two or three dimensions for analysis.\n",
    "\n",
    "In the next cell, we are going to:\n",
    "1. Take all digits data (but not the labels of what number they are) as input\n",
    "2. Perform a PCA with `n_components=2`, meaning just two components are output.\n",
    "3. Transform the original data onto those two dimensions (similar to what we did earlier)\n",
    "4. Plot the points:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Original data shape is (1797, 64)\n",
      "Transformed data shape is (1797, 2)\n"
     ]
    }
   ],
   "source": [
    "digits_pca = PCA(n_components=2)\n",
    "digits_pca.fit(X)\n",
    "X_transformed = digits_pca.transform(X)\n",
    "print(\"Original data shape is\", X.shape)\n",
    "print(\"Transformed data shape is\", X_transformed.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can see here the reduction in variables from the original 64 variables down to just two."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x25bde9f9490>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X_transformed[:,0], X_transformed[:,1], color='blue', alpha=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is what the original data looks like in the transformed space. It is a nice visualisation, and we need to do *something*, otherwise we could not visualise all 64 dimensions at the same time. \n",
    "\n",
    "Now for the interesting part. For each of the digits, the *general pattern* of the pixel intensities is approximately the same (i.e. all the 8s look approximately the same). It follows that the resulting point in the transformed space would be similar for the same numbers (i.e. the 8s should be in the same spot). If we colour the points according to what the actual number is, we see this in action:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x25bde931790>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X_transformed[:,0], X_transformed[:,1], c=y, alpha=0.2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see, similarly labelled data is in a similar space - in *just two dimensions*! This shows that lots of information is contained in those two dimensions. To highlight how amazing this result is, remember that PCA *never knew anything about which samples were which digits*. The separation of digits is based on an analysis of the raw data.\n",
    "\n",
    "\n",
    "In the next cell, I do the same plot, but split out so the legend can be viewed:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "cmap = plt.get_cmap('Set3')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.5529411764705883, 0.8274509803921568, 0.7803921568627451, 1.0)"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cmap(0)  # A colour map for setting the colour of each different digit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.7450980392156863, 0.7294117647058823, 0.8549019607843137, 1.0)"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cmap(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x25bdea49710>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12,12))\n",
    "for number in np.unique(y):\n",
    "    ix = np.where(y == number)\n",
    "    ax.scatter(X_transformed[ix,0], X_transformed[ix,1], c=[cmap(number)], label=number)\n",
    "ax.legend()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this plot you can see the individual numbers being separated. Note also the overlaps. For instance, a few numbers are overlapped. This doesn't necessarily mean they are very similar, as we have lost information in performing the PCA."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Exercises\n",
    "\n",
    "1. Plot the relationship between the explained variance score and the number of features. You can get this from a PCA with the number of components equal to the actual number of features, and extract the explained variance ratio as a vector from the trained model. Hint: use NumPy's cumulative sum.\n",
    "2. Try the same analysis with several other datasets. Compare the graphs to get a general sense of the shape, and the approximate level of variance that it changes. Note the shape is generally the same."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x25bdc4f4690>]"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Fit a PCA model to the data\n",
    "full_pca = PCA(n_components=64)\n",
    "full_pca.fit(X)\n",
    "\n",
    "# Plot the cumulative sum\n",
    "plt.plot(np.cumsum(full_pca.explained_variance_ratio_))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*For solutions, see `solutions/pca_explained_variance.py`*"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
